Prime p₀= 2303358235701733121 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: FritzB
db: batch=81, k=10, 2 4 2 10 2

STPT(10)	2303357105798933879	0 2 30 32 60 62 90 92 120 122	-1129902799242
SPT(16)	2303357162178684253	0 10 24 28 36 48 78 168 196 286 316 328 336 340 354 364	-1073523048868
STPT(10)	2303357372332820891	0 2 6 8 48 50 90 92 96 98	-863368912230
SPT(16)	2303357436162668497	0 10 22 24 34 124 132 154 162 184 192 282 292 294 306 316	-799539064624
SPT(16)	2303357498017983059	0 2 8 92 104 120 144 164 168 188 212 228 240 324 330 332	-737683750062
SPT(16)	2303357602685893813	0 28 54 76 108 184 196 210 274 288 300 376 408 430 456 484	-633015839308
SPT(16)	2303358574853031607	0 16 30 64 112 150 156 162 274 280 286 324 372 406 420 436	339151298486
SPT(16)	2303358691346419697	0 12 42 56 90 110 170 182 210 222 282 302 336 350 380 392	455644686576
STPT(10)	2303358831832975877	0 2 72 74 102 104 132 134 204 206	596131242756
SPT(16)	2303359272579540379	0 10 42 52 150 162 190 204 220 234 262 274 372 382 414 424	1036877807258
SPT(18)	2303359651030131163	0 28 46 60 70 108 114 120 138 196 214 220 226 264 274 288 306 334	1415328398042