Prime p₀= 2751248278219771751 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: [SG-FC] hl
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2751246842768514637	0 52 96 114 120 226 252 262 294 304 330 436 442 460 504 556	-1435451257114
SPT(16)	2751246969643371491	0 32 48 66 90 102 140 146 162 168 206 218 242 260 276 308	-1308576400260
SPT(16)	2751247698594756583	0 6 34 36 54 84 88 154 270 336 340 370 388 390 418 424	-579625015168
SPT(16)	2751247718599633021	0 6 10 18 28 46 52 88 90 126 132 150 160 168 172 178	-559620138730
STPT(10)	2751247952177511341	0 2 36 38 78 80 120 122 156 158	-326042260410
SPT(16)	2751248092111073557	0 144 156 192 210 226 270 276 280 286 330 346 364 400 412 556	-186108698194
SPT(16)	2751248547798057091	0 10 46 66 72 100 102 136 186 220 222 250 256 276 312 322	269578285340
STPT(10)	2751248769571517177	0 2 30 32 42 44 54 56 84 86	491351745426
SPT(16)	2751249303849143729	0 24 38 42 90 120 134 140 192 198 212 242 290 294 308 332	1025629371978
SPT(18)	2751249354601965961	0 18 28 42 72 118 130 142 160 198 216 228 240 286 316 330 340 358	1076382194210
TPT(14)	2751249387295275989	0 2 48 50 180 182 192 194 288 290 390 392 402 404	1109075504238