Prime p₀= 1122936292157488691 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: arkiss
db: batch=76, k=10, 2 34 2 40 2

SPT(16)	1122934553844727571	0 38 68 140 168 180 212 230 258 276 308 320 348 420 450 488	-1738312761120
STPT(10)	1122934888260244907	0 2 12 14 42 44 72 74 84 86	-1403897243784
TPT(14)	1122935055872088539	0 2 132 134 150 152 222 224 288 290 318 320 372 374	-1236285400152
STPT(10)	1122935410621827989	0 2 42 44 90 92 138 140 180 182	-881535660702
TPT(14)	1122935659184739971	0 2 30 32 48 50 138 140 156 158 216 218 258 260	-632972748720
SPT(16)	1122936250249907003	0 30 44 56 78 120 150 164 240 254 284 326 348 360 374 404	-41907581688
STPT(10)	1122936321816581939	0 2 42 44 120 122 198 200 240 242	29659093248
SPT(16)	1122936661708359997	0 72 100 120 132 142 210 252 310 352 420 430 442 462 490 562	369550871306
STPT(10)	1122936948644780219	0 2 18 20 30 32 42 44 60 62	656487291528
STPT(10)	1122937016830247417	0 2 30 32 42 44 54 56 84 86	724672758726
SPT(16)	1122937183929906529	0 4 30 72 90 100 112 132 142 162 174 184 202 244 270 274	891772417838