Prime p₀= 1126650216111443237 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: crashtech
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1126648483334205989	0 48 54 80 104 164 170 180 182 192 198 258 282 308 314 362	-1732777237248
STPT(10)	1126648618620257099	0 2 48 50 90 92 132 134 180 182	-1597491186138
SPT(16)	1126649202860744869	0 88 102 208 238 270 280 304 348 372 382 414 444 550 564 652	-1013250698368
SPT(16)	1126649359212599501	0 6 12 42 48 56 96 122 126 152 192 200 206 236 242 248	-856898843736
SPT(16)	1126649633485547851	0 12 70 78 120 138 150 166 252 268 280 298 340 348 406 418	-582625895386
STPT(10)	1126649703957007331	0 2 6 8 48 50 90 92 96 98	-512154435906
STPT(10)	1126650541819023899	0 2 18 20 30 32 42 44 60 62	325707580662
STPT(10)	1126650768229522301	0 2 78 80 108 110 138 140 216 218	552118079064
SPT(16)	1126651131850828127	0 20 32 90 180 216 224 302 354 432 440 476 566 624 636 656	915739384890
SPT(16)	1126651609308797443	0 6 46 60 100 120 156 174 226 244 280 300 340 354 394 400	1393197354206
STPT(12)	1126652175463846439	0 2 18 20 42 44 48 50 72 74 90 92	1959352403202