Prime p₀= 1258073904137573189 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: HenkM
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1258072907517120619	0 4 30 42 58 64 70 88 204 222 228 234 250 262 288 292	-996620452570
STPT(10)	1258073169466050701	0 2 30 32 78 80 126 128 156 158	-734671522488
STPT(10)	1258073510006114027	0 2 30 32 72 74 114 116 144 146	-394131459162
SPT(16)	1258073602147224649	0 30 40 70 90 112 114 132 202 220 222 244 264 294 304 334	-301990348540
TPT(14)	1258073615593652939	0 2 30 32 42 44 90 92 132 134 168 170 198 200	-288543920250
TPT(14)	1258073726603015051	0 2 168 170 240 242 246 248 378 380 408 410 426 428	-177534558138
SPT(16)	1258073940405349351	0 22 30 58 76 82 142 160 168 186 246 252 270 298 306 328	36267776162
TPT(14)	1258073995753136447	0 2 30 32 54 56 144 146 174 176 222 224 240 242	91615563258
TPT(14)	1258074211323926417	0 2 12 14 120 122 150 152 180 182 210 212 222 224	307186353228
SPT(16)	1258074244292127673	0 28 34 36 90 130 180 204 220 244 294 334 388 390 396 424	340154554484
SPT(20)	1258074544793746499	0 14 44 78 114 138 144 152 158 162 200 204 210 218 224 248 284 318 348 362	640656173310