Prime p₀= 2250648538828092437 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: JonS
db: batch=81, k=10, 2 58 2 10 2

SPT(16)	2250647431516142423	0 8 14 18 20 56 66 78 86 98 108 144 146 150 156 164	-1107311950014
STPT(10)	2250647511502869509	0 2 18 20 30 32 42 44 60 62	-1027325222928
SPT(16)	2250647539914939007	0 10 12 22 64 82 124 156 160 192 234 252 294 304 306 316	-998913153430
SPT(16)	2250647550460687207	0 22 34 36 42 112 114 142 144 172 174 244 250 252 264 286	-988367405230
STPT(10)	2250647875297733081	0 2 30 32 78 80 126 128 156 158	-663530359356
STPT(10)	2250648355873385729	0 2 18 20 30 32 42 44 60 62	-182954706708
STPT(10)	2250648587601684227	0 2 24 26 42 44 60 62 84 86	48773591790
STPT(10)	2250648739142159561	0 2 6 8 18 20 30 32 36 38	200314067124
SPT(16)	2250649761702926231	0 18 48 62 128 140 152 170 228 246 258 270 336 350 380 398	1222874833794
STPT(10)	2250649793308334447	0 2 12 14 42 44 72 74 84 86	1254480242010
SPT(16)	2250650208177740293	0 4 28 78 88 94 96 150 184 238 240 246 256 306 330 334	1669349647856