Prime p₀= 1124849160147588059 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: crashtech
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1124847486001351591	0 40 42 72 118 136 138 162 196 220 222 240 286 316 318 358	-1674146236468
STPT(10)	1124848174348340009	0 2 42 44 120 122 198 200 240 242	-985799248050
SPT(18)	1124848524579670997	0 44 54 72 74 80 84 86 116 120 150 152 156 162 164 182 192 236	-635567917062
SPT(16)	1124848838486040587	0 44 50 72 84 96 104 132 134 162 170 182 194 216 222 266	-321661547472
SPT(16)	1124849092095789773	0 20 44 48 128 174 188 240 284 336 350 396 476 480 504 524	-68051798286
SPT(16)	1124849108401102613	0 6 8 48 78 86 138 146 168 176 228 236 266 306 308 314	-51746485446
SPT(16)	1124849168307191947	0 6 42 46 64 72 76 132 154 210 214 222 240 244 280 286	8159603888
SPT(16)	1124849253383563663	0 46 54 88 120 138 168 216 328 376 406 424 456 490 498 544	93235975604
SPT(16)	1124849605135755413	0 36 50 68 74 146 176 180 224 228 258 330 336 354 368 404	444988167354
SPT(18)	1124849900522267041	0 28 48 90 126 132 156 168 222 226 280 292 316 322 358 400 420 448	740374678982
SPT(16)	1124850043407555331	0 6 12 18 58 70 118 132 136 150 198 210 250 256 262 268	883259967272