Prime p₀= 2211500262761189327 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: Landjunge
db: batch=81, k=10, 2 10 2 58 2

TPT(14)	2211499254057854729	0 2 12 14 42 44 78 80 150 152 180 182 210 212	-1008703334598
SPT(16)	2211499533919988527	0 46 70 90 106 124 166 174 202 210 252 270 286 306 330 376	-728841200800
SPT(16)	2211499753715401909	0 4 12 64 90 118 174 198 214 238 294 322 348 400 408 412	-509045787418
STPT(10)	2211499991559362897	0 2 30 32 42 44 54 56 84 86	-271201826430
SPT(16)	2211499998304502713	0 10 34 40 84 100 150 208 210 268 318 334 378 384 408 418	-264456686614
SPT(16)	2211500190875430293	0 14 60 80 116 128 144 146 168 170 186 198 234 254 300 314	-71885759034
SPT(16)	2211500729992976797	0 6 30 40 82 90 96 100 156 160 166 174 216 226 250 256	467231787470
SPT(16)	2211501749191956469	0 22 48 78 108 112 190 210 232 252 330 334 364 394 420 442	1486430767142
SPT(16)	2211501863112532559	0 24 74 90 98 132 158 260 342 444 470 504 512 528 578 602	1600351343232
SPT(16)	2211501879215069747	0 14 152 180 194 210 224 230 306 312 326 342 356 384 522 536	1616453880420
STPT(10)	2211501987591965657	0 2 30 32 120 122 210 212 240 242	1724830776330