Prime p₀= 1122603157745533127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: mikey
db: batch=76, k=10, 2 40 2 28 2

SPT(16)	1122602088578054489	0 32 38 74 98 104 108 114 308 314 318 324 348 384 390 422	-1069167478638
TPT(14)	1122602300580563771	0 2 36 38 78 80 90 92 138 140 216 218 306 308	-857164969356
STPT(10)	1122602739879549737	0 2 12 14 72 74 132 134 144 146	-417865983390
STPT(10)	1122602853933449387	0 2 90 92 102 104 114 116 204 206	-303812083740
SPT(16)	1122603000536002933	0 6 28 30 70 76 138 154 210 226 288 294 334 336 358 364	-157209530194
STPT(10)	1122603092951881997	0 2 30 32 42 44 54 56 84 86	-64793651130
SPT(16)	1122603411262832861	0 26 48 60 98 102 110 116 162 168 176 180 218 230 252 278	253517299734
STPT(10)	1122603540302022599	0 2 42 44 60 62 78 80 120 122	382556489472
SPT(16)	1122603731090084911	0 12 22 40 70 78 162 240 370 448 532 540 570 588 598 610	573344551784
SPT(16)	1122603789311879431	0 16 42 112 126 142 198 222 226 250 306 322 336 406 432 448	631566346304
STPT(10)	1122603877820755541	0 2 30 32 78 80 126 128 156 158	720075222414