Prime p₀= 2111970349199386601 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: vaughan
db: batch=80, k=10, 2 28 2 46 2

SPT(16)	2111968802605020343	0 4 54 108 124 138 150 234 274 358 370 384 400 454 504 508	-1546594366258
STPT(10)	2111969440007258717	0 2 42 44 132 134 222 224 264 266	-909192127884
SPT(16)	2111969615941373423	0 56 78 114 134 138 144 156 158 170 176 180 200 236 258 314	-733258013178
SPT(16)	2111969838028881227	0 60 80 122 132 134 176 224 312 360 402 404 414 456 476 536	-511170505374
SPT(16)	2111970095318920757	0 6 20 30 62 90 96 174 182 260 266 294 326 336 350 356	-253880465844
STPT(10)	2111970210428998187	0 2 90 92 102 104 114 116 204 206	-138770388414
TPT(14)	2111970584344454879	0 2 12 14 108 110 192 194 432 434 468 470 600 602	235145068278
STPT(10)	2111970657088674461	0 2 30 32 78 80 126 128 156 158	307889287860
STPT(10)	2111970672671211197	0 2 24 26 42 44 60 62 84 86	323471824596
STPT(10)	2111971461467331851	0 2 30 32 78 80 126 128 156 158	1112267945250
STPT(10)	2111971702126188767	0 2 12 14 72 74 132 134 144 146	1352926802166